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        riddles >> medium >> Difference of consecutive square roots
        
(Message started by: Aryabhatta on Mar 23rd, 2008, 12:21pm)
Title: Difference of consecutive square roots
Post by Aryabhatta on Mar 23rd, 2008, 12:21pm
This is from Problem of the Week, Purdue University, Spring 08, Problem 5.

Given any positive integers a, n show that there is a positive integer b such that

(sqrt(a) - sqrt(a-1))n = sqrt(b) - sqrt(b-1)
Title: Re: Difference of consecutive square roots
Post by Aryabhatta on May 8th, 2008, 12:32am
*bump*
Title: Re: Difference of consecutive square roots
Post by towr on May 8th, 2008, 12:57am
I didn't have much success finding it last time, but here (http://www.ocf.berkeley.edu/~wwu/cgi-bin/yabb/YaBB.cgi?board=riddles_medium;action=display;num=1202181603;start=0#0) is Michael Dagg's thread on the same problem.
Title: Re: Difference of consecutive square roots
Post by Aryabhatta on May 8th, 2008, 12:46pm
Sorry. I should have looked first.  :-[


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